Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q
~q → ~p
q → p
p → ~q

Answer 1

The answer is ~p → ~q

Answer 2

Answer: ~q → ~p

Step-by-step explanation:

p → q this statement implies that if p is true then q is true

p is the premise and q the conclusion

A statement is logically equivalent to its contrapositive

The contrapositive of this statement is

~q → ~p this statement implies that not q implies not p